Maths Curriculum Guidance · 2018-12-03 · subtraction maths stories to 20 Add and subtract 1/2...

CurriculumGuidanceMathematicsLongtermplanningguidancebyyeargroup.

StMartin’sMultiAcademyTrust CurriculumGuidance:Mathematics 2

Contents Page

1 MathsLearningObjectives 3

2 Year1MathematicsCurriculum 4







MathematicsLearningObjectives

Mathematics

1 Toknowandusenumbers

2 Toaddandsubtract

3 Tomultiplyanddivide

4 Toknowandusegeometricfacts

5 Torepresentgeometricconstructions

6 Tousemeasures

7 Tohandledata

8 Tounderstandanduseratio

9 Toreasonwithmaths

10 Touseandapplymathematics


Year1

Arithmetic

Autumn Spring Summer

Calculateandrecordadditionandsubtractionmathsstoriesto20

Addandsubtract1/2and1/4

Usefactsto10toCreateadditionandsubtractionmathsstoriesabout0,00and000

Copyandsolveverticaladditionandsubtraction(upto3digitnumbers)

Copyandsolveverticaladditionandsubtraction(upto4digitnumbers)

AdditionalNationalCurriculumguidance:

Addandsubtractoneandtwo-digitnumbersto20

Useknownfactsto10tocalculateto20

Readandwritenumbersto100

Geometry


Drawlinesandshapeswitharuler

Make2Dshapesusingdmsticksandfindtheperimeter

Measurethelengthoflinesincm

Makewhole,half,quarterandthreequarterturns

Name2Dshapes:square,rectangle,triangleandcircle

Recogniseandcompare1D,2Dand3Dshapes

Name3Dshapes:cuboid,cube,pyramidandsphere

Identify2Dfaceson3Dshapes


Usepositionallanguage:top/middle/bottomleft/right

Usepositionalvocabulary:left/right,top/middle/bottom,close/far,inside/outside,between/above

Recogniseshapesindifferentorientationsandsizes

DataandMeasures


Measurethelengthofshapesusingdm

Findtheperimeterofshapesusingdm

Useactions:1cm/1dm/1mand1g/1kg

Measureandrecordlength

Sayandwritemass

Compareweights

Selectcoinsfordifferentamounts(notmixingpoundsandpence)

Calculatechange(notmixingpoundsandpence)

Drawhandsonaclockface


Usearangeofmeasuringtools

Measureandrecordusingdm/cm,g/kgandl

Comparemeasurementusingvocabulary:long/short,heavier/lighter,halffull/quarterfull,full/empty

Recognisethevalueofcoinsandnotes

Readtimes:o’clockandhalfpast

Usetimevocabulary:before,after,today,tomorrow,yesterday,seconds,minutes,hours,morning,afternoon,quicker/slower,earlier/later


Arithmetic2


Calculate+and-mathsstories

Calculatexmathsstories

Calculate÷mathsstories

Calculatemathsstoriesinvolvingallfouroperations

Calculateadditionandsubtractionmathsstoriesinvolvingwhole,1/2and1/4

Understandembellishedandbasicreal-lifestories

Solveadditionandsubtractionwordproblems


+and-usingconcreteobjectsandpictorialrepresentation

xusingconcreteobjects,pictorialrepresentationsandarrays

÷usingconcreteobjects,pictorialrepresentationsandarrays

Solveproblemsusingpictorialrepresentations

Reasoning


Writenumbers0-9andfractions

Calculate+and-mathsstories

Usecomparativelanguage:bigger/smaller,equalto,differencebetween

Createanddrawbasicandembellishedreal-lifeadditionandsubtractionstories

Shade1/2,1/4and

3/4ofashape

Monthsoftheyear

Createabarchart


Understandlanguageinvolved:add,altogether,total,takeaway,morethan,lessthan

Recogniseandfind1/2ofanobject,shapeandquantity

Recogniseandfind1/4ofanobject,shapeandquantity


Year1

DailyPractice

Countinonesalonganumberline

Usepositionalvocabulary:top,bottom,leftandwrite

Countdaysanddatesonacalendar

Identifyshapes:triangles,quadrilaterals,pentagonsandhexagons

Drawstraightlinesbetweendots

Readandwritefractions:1/2and1/4

Calculatetotalsofmoneyupto10p

Recogniseoddandevennumbers

Countmovementsonanumberline

Numberbondsto10

Numberbondsto20

Find10moreorlessthananumber

Fillinmissingnumbers

Matchcoinstothepriceofanitem

Estimatenumberofobjectsusinggroupsof2,5and10

Completeaflowdiagram:+-x

Comparetimesoftheday

Comparepricesofobjects


Countforwardsandbackwardstoandacross100


Countin2s,5sand10sforwardsandbackwards

Identify1moreand1lessthannumbersto100

Order:first,second,third

Readandwritenumbersto20innumeralsandwords

Ordernumbers

Compareamounts:equalto,morethan,lessthan,fewerthan,most,least

Createrepeatingpatternswithobjectsandshapes

Doublenumbersto10

Halvenumbersto20

Knowandorderdaysoftheweek

Knowandordermonthsoftheyear

Knownumberbondsto20andrelatedsubtractionfacts

Solvemissingnumberandsymbolmathsstories


Year2

Arithmetic


Calculatevertical+and-mathsstories

Calculate+-xand÷mathsstoriesinvolving1/2and

1/4

Calculateverticaladditionwithonetrickycolumn

Completeverticalsubtractionwithonetrickycolumn

Solveadditionandsubtractionwordproblems

Solvewordproblemsinvolvingallfouroperations

Writehorizontalmathsstoriesverticallyandsolvewithonetrickycolumn


Recalladditionandsubtractionfactsto20

Uselanguage:sumanddifference

Recogniseplacevalueofeachdigit

Partitionindifferentways(whenteachingfunnycounting)e.g.53=50+3or40+13

Usepictorialrepresentations

Geometry


Makeandname2Dshapesusingdmandfindtheperimeter

Identifylinesofsymmetryin2Dshapes

Identifyrightangles

Describethepropertiesof3Dshapes:numberoffaces,vertices,edgesandshapeoffaces

Identifylinesofsymmetryin2Dshapes

Identifyangles

Name2Dshapes:polygons,quadrilaterals,hexagon,pentagon,octagon

Namespecial2Dshapes:isoscelestriangle,equilateraltriangle,right-angledtriangle,rectangle,square

Recognise3Dshapes:nameprismsandpyramids

Usenetsfor3Dshapes


2Dshapeproperties:corner,sides,diagonal,vertical,horizontal,symmetry

Rotationasaturnorintermsofrightanglesfor1/4,1/2and3/4turns

Rotateclockwiseandanti-clockwise

Name3Dshapes:cuboid,prism,cylinder,cone,pyramid

Sort3Dshape

Sort2Dshapes

Patterns/sequencesofshapeindifferentorientations

Name2Dand3Dshapesindifferentorientations


DataandMeasures


Readtimes:o’clock,quarterpast,halfpast,quarterto

Drawthehandsonaclockface

Readandwritedigitaltimes

Selectandusemeasuringtools

Identifyexplicitandimplicitinformationingridsandbarcharts

Measurelengthusingcm,mm,dm,m

Calculatechange

Interpretbarchartsandpictograms

Measurelengthinmm

Readandwritedigitaltimes


Knowthenumberofminutesinanhourandhoursinaday

Readandwritetimeto5minutes

Estimateandmeasureinmm,cm,m,g,kg,ml,l,oC

Comparemeasurementsusing<>=and‘twiceashigh’‘halfaswide’

Usesymbol£andpseparately

Findcombinationsofcoinstomaketotals

Moneywordproblems

Pictogramsandbarchartsinunitsof2,5and10

Interprettallychartsandtables

Constructsimplepictograms,tallycharts,blockdiagramsandtables

Compareandsequenceintervalsoftime

Arithmetic2


Identifymathsstoriesandbasicreal-lifestoryinembellishedstories

Identifyimplicitandexplicitinformation

Partitionnumbers

Writemixednumbers

Differencebetween

Numbersequences

Numberpuzzles:totalsofmoney,missingnumbers,findwaystomakeatotal

Numberpuzzles:ordernumbers,createnumbers,moneypuzzles,missingnumbersandsymbols

Find1/2and1/4ofnumbersandobjects

Writenumbersshownonanabacus

SortnumbersusingCarrollandVenndiagrams


Find,name,writefractionsofalength,shape,quantity:1/2,

1/4,3/4,

2/4,1/3

Recognisetheequivalenceof2/4and1/2


Reasoning


Inverseofaddition

Commutativelaw

Inverseofmultiplication

Gridmethodxand÷

Solvewordproblemsinvolvingallfouroperations

Type1andType2division

Selectandusemeasuringtools

Solvemeasuringwordproblems

Type1andType2multiplication

Createxand÷mathsstoriesabout0,00and000


Solvemissingnumberproblems

Userelatedfactse.g.3+4=70therefore30+40=70

Usearrays

Usepictorialrepresentations Recallmultiplicationanddivisionfactsfor2,5and10timestables

DailyPractice



Recallmultiplicationfactsfor2,5and10timestables

Knowmonthsoftheyearandnumberofdaysineachmonth

Recalladditionfactsandcorrespondingsubtractionfacts

Numberbondsto50

Usenumberlinetoadd

Numberpairswith2digittotals

MoneySVDA

Identifytotalsofmoney

Readinformationfromcalendars

Usecalculatorforallfouroperations

Puteventsinchronologicalorder

RepeatedadditionandmultiplicationSVDA

RepeatedsubtractionanddivisionSVDA

Missingnumbermathsstories

Comparenumbersto100using<>=

Findmissingtensorunitnumber

Add,subtractandmultiplycumulatively

Roundnumberstothenearest10

Estimateanswerstocalculations

Estimatenumberofobjects

Comparetimedurations

Createanddescribenumberpatterns

Identifysymmetricalpatterns


Countin2s,3s,5sand10sforwardsandbackwards

Readandwrite0-100innumeralsandwords

Ordernumbersto100

Addandsubtractmentallya2digitnumberandones/tens

Addandsubtractmentallytwo2digitnumbers


Doublingandhalvingamountsto100

Recognisedoublingasx2andhalvingas÷2

Countinfractionsto10(e.g.01/41/2

3/41)



Year3

Arithmetic


Calculate+and-mathsstoriesinvolvingmixednumbers

Vertical+and-withtrickycolumns(TU)

Calculate+-xand÷mathsstoriesinvolvingfifths

Calculate+-xand÷mathsstoriesinvolvingfifthsandsevenths

Vertical+and-withtrickycolumns(TU)

Calculate+-xand÷mathsstoriesinvolvingnegativenumbers

Calculate+-xand÷mathsstoriesinvolvingnegativenumbers

Calculate+-xand÷mathsstoriesinvolvingfifthsandsevenths

Vertical+and-withtrickycolumns(HTU)


Recogniseplacevalueofeachdigit

Partitionindifferentwayse.g.153=100+50+3or140+13

Solveproblemsinvolvingfractions

Geometry


Investigatepropertiesoflines

Drawandmeasurelines

Namepolygons

Distinguishbetweenclockwiseandanti-clockwise

Plotco-ordinates

Identifydegreesin1/4,1/2,

3/4turns

Drawanglesmultiplesof10o

Usesetsquarestoidentifyanddrawrightangles

Recogniseparallelandperpendicularlines

Plotanddrawlines

Useacompassandrulertodrawtriangles

Compareanddrawtrianglesspecifiedbyco-ordinates

Identifypyramidsandprismsfromitsnet

Recognise3Dshapesfrom2Ddrawings

Identifyanddrawtypesoftriangles


Recognisesymmetricalandnon-symmetricalpolygonsandpolyhedra

Identifywhetheranglesarerightangles,acuteorobtuse

Identifyhorizontalandverticallines

Make3Dshapesusingmodellingmaterial

Recognise3Dshapesindifferentorientations


DataandMeasures


Writedigitaltimes

Calculatetimedifferencesanddurations

Usecompasstodrawandmeasurecirclesandhexagons

Interpretdataingrid,piechartsandbarcharts

Measurelengthandmass

Calculatearea,volume,lengthandperimeterofshapes

Createandinterprettallychartsandbarcharts

Calculatetotalsanddifferencebetweenprices

Estimateandmeasuremassandcapacity

Calculateareaandvolume

Solveareawordproblems


Readdigital12-hourclocks

TellthetimeusingRomannumerals

Usevocabulary:o’clock,a.m.,p.m.,morning,afternoon,noonandmidnight

Unitsof2,5and10

Interpretpictograms

Solveoneandtwostepproblemse.g.howmanymore/fewer?

Usemm/cm/m,g/kgandmixedunitse.g.1kgand200g

Comparemeasurements

Addandsubtractmeasurements

Addandsubtractmoney(mixedunits)andrecord£andpseparately

Calculatechange

Arithmetic2


Calculatefractionsofquantities

Solvewordproblemsinvolvingfractionsofquantities

MultiplyTUXUusinggridmethod

Solvedivisionwordproblems

Expressremaindersasafraction

Useallfouroperationsincludingtenths

Calculatevertical+and-includingdecimals

Writesquaresandsquareroots

Identifytheoperationrequiredtosolveawordproblem


Compareandorderfractions

Equivalentfractions

Identifynumberoftenthse.g.34.22tenths

Countupanddownintenths


Reasoning


Usevertical+and-tosolvewordproblems

Ordernumbers

Solvexand÷wordproblems

MultiplyTUxUbypartitioning

MultiplyTUxUusinggridmethod

Useinversefordivisionwithremainders

Writearatioasafraction

Useknownfactstocalculatemathsstories

Identifyfractionsthataddto1

Calculatedifferencebetweenfractions

Partitionnumberstosolvemathsstoriesinvolvingallfouroperations1

Solvedivisionwordproblems

Oddandevennumbers

Calculatetotalcostanddifferencebetweenprices

Numberpuzzles


Solveproblemsinvolvingfourtimesashigh,eighttimesaslong

DailyPractice

Recallmultiplicationfactsfrom2,5and10timestables

Recallmultiplicationfactsfrom3and4timestables

Recogniseequivalencese.g.2m=200cm

Convertbetweeng/kg,cm/dm/mm

Multiplya2,3and4digitmultipleof10bya1digitnumber

Convertbetweenml/l,mm/cm/dm/m

Converttimesbetweenanalogueanddigitalform

Addandsubtractmoneymentally

Roundnumberstothenearest10or100


Countin2s,3s,4s,5s,8s,10s,50sand100sforwardsandbackwards

Countforwardsandbackwardsintenths

Recalldivisionfactsfrom3,4and8timestables



Readandwritenumbersto1000innumeralsandwords

Compareandordernumbersto1000

Recogniseacute,obtuseandrightangles

Identifyhorizontal,vertical,parallelandperpendicularlines

Knownumberofsecondsinaminute

Knownumberofdaysineachmonth

Knownumberofdaysinayearandleapyear

Readanaloguetimesto5minutes

Readandwritetimestothenearestminute

Addandsubtractmentallya3digitnumberandones/tens/hundreds


Year4

Arithmetic


Calculatemathsstoriesforallfouroperationsinvolvingmixednumbers,halvesandquarters

Calculatemathsstoriesforallfouroperationswithvulgarfractionsandnegativenumbers

Read,writeandconvertbetweenfractionsanddecimals

Calculatemathsstoriesforallfouroperationsinvolvingdecimalfractions

Calculatemathsstoriesforallfouroperationsinvolvingfractions,mixednumbersandnegativenumbers

Placevalue(4digitnumbers)

Vertical+and-involvingdecimals

MultiplyTUxTUusinggridmethod

DivideHTU/TUbyUusinggridmethod

Calculatepercentagesofwholenumberquantity

Calculatedecimalnumberpercentagesusingacalculator

Rounddecimalfractions

Calculate+and-usingnegativenumbers


DivideHTU/TUbyUusinggridmethod


Compareandorderdecimals(upto2dp)

Identifynumberofhundredthse.g.34.1212hundredths

MultiplyHTUxUusinggridmethod

Usedistributivelawe.g.39x7=30x7+9x7

Geometry


Drawobjectsinamirrorline

Useaprotractortodrawangles

Identifyangles

Usevocabularyforcirclesaccurately

Drawshapesusingacompass

Labelaxes(positiveandnegative)

Drawshapesonaxes

Namelinesofsymmetry

Drawtrianglesusingacompass

Measureanglesusingaprotractor

Drawacuteandobtuseangles


Compareandorderangles Describepositiononagridasco-ordinates

Describemovementsastranslations

Identifyregularandirregularpolygons

Identifylinesofsymmetryindifferentorientations

Completeasimplesymmetricfigure


DataandMeasures


Readmetricprefixesforlength,massandvolume

Comparemetricunits

Readmetricequivalencesusingdecimalpoint

Calculateareaandvolume

Calculatethecircumferenceofcircle

Findthemean

Calculateequivalentfractions

Calculatefractionsofquantitiesusingequivalentfractions

Useratiotoconvertmeasurements


Measureusingarangeofunits

Convertbetweenunitsofmeasure

Measureandcalculateperimeter

Recogniseequivalentfractionse.g.6/9=2/3

Notexplicitlycoveredinmathslessons,butneedstobetaughtperhapsinthematicorscience:

*Readandwriteanalogueanddigitaltime(12and24hour)

*Solvetimeproblemsusingconverting:hourstominutes,minutestoseconds,yearstomonthsandweekstodays

*Presentdiscreteandcontinuousdatausinggraphicalmethodsincludingbarchartsandtimegraphs

*Usearangeofscaleswhenpresentingandinterpretingdata

*Answercomparison,sumanddifferencebetweenproblemsaboutdatapresentedinbarcharts,pictograms,tablesandgraphs

Arithmetic2



Calculateonestepwordproblemsinvolvingallfouroperations

Useacalculatortosolveonestepmeasurewordproblemsinvolvingdecimals

Groupcalculationstosolvemathsstories

Solvemeasurewordproblems

Solvewordproblemsinvolvingdecimalquantities

Solvepercentagewordproblems

Solvefractionandpercentagewordproblemsinvolvingallfouroperations

Rounddecimals


Solvetwostepadditionandsubtractionwordproblems


Reasoning


Readandwritenumbersuptobillions

Readandwritepowersof10

Useknownfactstocalculatexand÷mathsstories

Mentallyxthree1digitnumbers

Useindexnotationforpowersof10

Multiplythreenumberswithadecimalfractionusingacalculator

Identifyterms

Usealgebraicexpressions


Recognisetheplacevalueofeachdigit

Derivefacte.g.600÷3=200canbederivedfrom2x3=6

DailyPractice

Roundtothenearest10and100

Recallmultiplicationanddivisionfactsupto100

Convertmtocm,kgtogandmltol

Find1moreorlessthananynumber(positiveandnegative)

Convertbetweendecimalandvulgarfractions

Convertpencetopound

Converttimeanalogueanddigital

Recallmultiplesof8,9and10

Givefactorsof4,10,12and15

Convertmmtomandpoundstopence

Recallmultiplesof3,4,5,6,7,9and10

Givefactorsof1,5,7,9

Givefactorsof12,15,16and18

Findcommonequivalentfractions

Givemultiplesof5,7,8and10

Givefactorsof10,15,18,20,24and25

Convertbetweendecimalsandfractionsfortenths,hundredthsandthousandths

Convertbetweenmilesandkm


Countinmultiplesof6,7,9,25and1000

Find1000moreorlessthanagivennumber

Countforwardsandbackwards(negativenumbers)

Orderandcomparenumbersbeyond1000

Roundnumberstothenearest10,100or1000

ReadRomannumeralsto100

Recallmultiplicationanddivisionfactsupto12x12

Compareamountsofmoneyinpoundsandpence(usingdecimalnotation)

Recogniseandusefactorpairsupto144

Countupanddowninhundredths

Recogniseandwritedecimalequivalentsto

Compareandorderdecimals(upto2dp)

Classifytriangles:equilateral,isosceles,scalene

Classifyquadrilaterals:parallelogram,rhombus,trapezium


Year5

Arithmetic


Vertical+and-withmorethanonetrickycolumn

Calculate+-x÷mathsstoriesinvolvingvulgarfractionsandmixednumbers

Vertical+and—decimalswithmorethanonetrickycolumn

Multiplyvulgarfractions

Usefractionsasdivisions

Convertvulgarfractionstofinitedecimal

Usefouroperationswithpositiveandnegativenumbers


MultiplyHTUxTUwithdecimalsusinggridmethod

DivideHTU÷Uusinggridmethod

Multiplyanddividedecimals(upto3dp)bymultiplesofpowersof10

Usederivedproductstocalculatexand÷


Identifythevalueofeachdigit

Orderandcomparefractionsanddecimals

Recogniseandusethousandths

MultiplyTHTUxTU/U

Multiplyby10,100and1000

DivideTHTU÷Uusinggridmethod

Divideby10,100and1000

Interpretremaindersasfractions,decimalsorrounding

Geometry


Investigatepropertiesofshapeandsymmetry

Nameanddrawangles:acute,obtuse,reflexandright

Nameandcalculateverticallyoppositeandsupplementaryangles

Drawanglesusingaprotractor

Calculatethecircumferenceandareaofacircle

Explorethepropertiesofangles

Investigateanglesofpolygons

Recognise,nameandsketchpolygons

Identifypropertiesofpolygons


Estimateandcompareangles

Usemarkingsforparallellinesandrightangles

Usepropertiesofrectanglestofindmissinglengthsandangles

Distinguishbetweenregularandirregularshapes


DataandMeasures


Solvemeasurewordproblemsinvolvingallfouroperationsandpercentageincrease/decrease

Investigate3Dshapes

Convertmetricandimperialunits

Readscales

Interpretacalendarandtimetable

Usetimedurationsincalculationsandwordproblems

Constructabarchart

Findthemode

Drawandinterpretdistance-timegraphs

Roundmeasures

Useratiotoconvertbetweenunitsofmeasure

Estimateareaofregularandirregularshapes

Calculatetimedurations

Solvetimewordproblems


Explainoperationsandmethodswhensolvingproblems

Convertbetweenfractions,decimalsandpercentages

Solvecomparison,sumanddifferenceproblemsaboutalinegraph

Calculateperimeterincmandm

Compareareaofshapesusingcm2andm2

Estimatevolumeandcapacity

Expressmissingmeasuresalgebraically

Arithmetic2


Completemissingnumbergridsandsentences

Completenumbersequencesinvolvingsquarenumbers

Solveoneandtwostepwordproblems

Use<≤>≥

Investigatefactorsandproperfactors

Usedivisibilitytests

Investigatefactorsandproperfactors

Identifyprimenumbers(0-100)

Writenumbersasaproductoftheirprimefactors

Investigatefactors

Evaluatetermsandproductsinexpressionsincludingbrackets


Findcommonfactorsoftwonumbers

Understandterm:factor,multiple,squareandcubenumber

Usenotation(2)and(3)

Usevocabulary:primenumber,primefactors,composite(non-prime)number


Reasoning


Writeandconverttimesusing24hournotation

Calculatetimeduration(24hour)

Solvealgebraicequations

Solvemeasureandfractionproblemsbyexploringrelationships

Solveone,twoandthreestepmoneyproblems

Solvepuzzlesbycalculatingquantities

Carryoutinvestigationsinvolvingshape,numberandreal-lifesituations

Usetimetables

Calculatedurations:differencebetween,totalandmean

Calculateequivalencesandfractionsofperiodsoftime


Solveproblemsinvolvingdecimals

DailyPractice

Addandsubtractmoney

Recallmultiplicationanddivisionfacts(upto12x12)

Givemultiplesofalltimestables

Givefactors

Identifyvalueofdigits(includingdecimals)

Converttimes12hourto24hour

Convertmeasuresgtokg,ltoml,cmtom,kmtom

Convertfractionstodecimals

Calculatetimedurations

Findequivalentfractions

Orderdecimalfractionsusinganumberline


Roundtothenearest100

Findthemodeandmedianofadatasample

Multiplyanddivideby15and20



Ordernumbersto1000000

Comparenumbersto1000000

Countforwardsorbackwardsinstepsof100,1000and10000


Roundnumberstothenearest10,100,1000,10000,100000

Countforwardsandbackwardsindecimalsandfractions

Mentallyaddandsubtractlargenumberse.g.12462-2300=10162

Recallprimenumbersto19

RecogniseyearswritteninRomannumerals

Rounddecimalstothenearestwholenumber

Orderandcomparefractions

Orderandcomparedecimals

Mentallyaddandsubtracttenths

Addandsubtractdecimalsfindingcomplementsof1e.g.0.83+0.17

Recogniseandusesquarerootsandsquarenumbers

ReadRomannumeralsto1000


Year6

Arithmetic


MultiplyHTUxTUusinggridmethod

Estimatethevalueofproductsbyroundingincludingdecimals

DivideTHTU÷Uusinggridmethod

Estimatethevalueofquotients,includingdecimals,byrounding

Useequivalentfractionsincalculationsusingallfouroperations

Calculateallfouroperationsusingnegativenumbersandvulgarfractions

Usetheformulaefordiameter,circumferenceandareaofacircle

Usetheformulaeforareaandvolume

Convertbetweendecimalfractionsandvulgarfractions

Writerecurringinfinitedecimalsinabbreviatedforms


Multiply1digitnumberwith2dpbywholenumbers

DividedecimalnumbersbyU

Interpretremaindersaswholenumbers,fractionsorbyrounding

Identifythevalueofeachdigit

Compareandorderfractions

Whencalculatingwithfractionswriteanswersinitssimplestform

Divideproperfractionsbywholenumbers

Illustrateandnamepartsofacircle:radius,diameterandcircumference

Associateafractionwithdivision

Geometry


Fundthesumofinteriorandexterioranglesofapolygon

Recognisereflection,translation,enlargementandrotation

Nametransformationsofshapes

Measureangles

Measurelength

Drawimagesandcompleteshapesusinglinesofreflection

Calculateanglesinisoscelestriangle

Sortquadrilaterals

Completecoordinatesofshapes

Identifyandwritetheorderofrotationalsymmetry

Calculatetheinterior,exteriorandmissingangles

Drawtheperpendicularlines

Drawthebisectorofanangle

Drawthecircum-circleofatriangle

Drawthein-circleofatriangle


Drawandtranslatesimpleshapesandreflecttheminaxes

Draw2Dshapesusinggivendimensionsandangles

Recognise,describeandbuild3Dshapesincludingmakingnets

Compareandclassifygeometricshapes

Drawandlabelapairofaxesinallfourquadrants

Describepositionsonthefullco-ordinategrid

Findunknownangles:triangles,quadrilateralsandregularpolygons


DataandMeasures


Solvemeasuringwordproblemusingkm,ml,l,gandkg

Drawapiechart

Solveproblemsinvolvingratioandproportion

Readscales(mass)

Compareweighingscales

Constructandinterpretfrequencytables,barchartsandpiecharts

Planandcarryoutasurveyusingdiscreteandgroupeddata

Convertbetweenyardsandmetres

Calculateperimeterandareaofcompoundshapes

Calculatesurfaceareaandvolumeofcuboids

Solveproblemswithcuboids

Understandthegoldenratio

Calculateratiosanduseratiostoconstructshapes

Collect,organise,selectandpresentinformation


Solveproblemsinvolvingconversionbetweenunits

Solvemoneyproblems

Linkpercentagesof360otocalculatinganglesofpiecharts

Comparequantitiesusingthenotationa:b

Solveproblemsinvolvingtherelativesizesoftwoquantities

Convertmeasurementsusingdecimalnotationupto3dp

Constructlinegraphs

Convertbetweenmilesandkm

Knowapproximateconversions

Recogniseshapescanhavesameareabutdifferentperimeterandviceversa

Calculatetheareaofparallelogramsandtriangles

Estimateandcomparevolumes:cm3,m3,mm3,km3

Arithmetic2


MultiplyHTUxTUusingshortmethod

DivideHTUxTUusingshortmethodwithremainders


Ratioofquantities

Writeaquantityasafractionorpercentageofthetotalquantity

Solvewordproblemsbyinvolvingpercentageincrease/decrease

Solvemoneyproblemsusingallfouroperations

Addandsubtractsquaresandcubesofnumbers

Calculateproducts

Usealgebraicnotationforthesum,difference,product,andquotientoftwonumbers

Findthegreatestorsmallestsums,difference,productsandquotientsoftwonumberswithinapossiblerange

Calculateproducts

Solvenumberpuzzlesinvolvingalgebraicterms

Identifyanddividenumbersbytheirfactors


Interpretremaindersaswholenumbers,fractionsorbyrounding

Expressmissingnumberproblemsalgebraically


Reasoning


Calculatemean,median,modeandrange

Probability

Interpretadistance-timegraph

Interpretatemperature-timegraph

Identifytermsandproductsinexpressions

Evaluateexpressionswithandwithoutbrackets

Solvelinearequationsthatinvolveoneoperationwithwholeanddecimalnumbers

Expressvulgarfractionsaspercentages


Constructlinegraphs

Exploretheorderofoperationsusingbrackets

Enumeratepossibilitiesofcombinationsoftwovariables

DailyPractice

Recallmultiplicationanddivisionfacts(upto12x12)

Multiplyby15

Roundnumbersto1dp

Writefactorsandmultiplesofgivennumbers

Convertbetweenmandkm,cmandm,cmandmm,mlandlandgandkg

Findafractionorpercentageofwholenumber

Calculatetimeduration

Calculateanglesinatriangle


Multiplyby25

Multiplyanddividepairsofmultiplesof10and100

Findequivalentfractions

Roundnumbersto2dp

Writeanumberasproductofitsprimefactor

Roundnumbersto3dp



Ordernumbersto10000000

Comparenumbersto10000000

Roundnumberswithaccuracy(nearest10,20,50etc.)


Usethefouroperationsmentally

Identifycommonfactors,commonmultiplesandprimenumbers

Partitiondecimalsto3dp

Mentallyaddandsubtractnegativenumbers

Compareandorderfractionsincludingfractions>1

Maths Curriculum Guidance · 2018-12-03 · subtraction maths stories to 20 Add and subtract 1/2...

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Transcript of Maths Curriculum Guidance · 2018-12-03 · subtraction maths stories to 20 Add and subtract 1/2...